CE 371 HOMEWORK 2
1) Find the difference in pressure
between tanks A and B if
d1=300mm, d2=150mm, d3=460mm,
d4=200 mm and S.GHG =13.6
γw=9.80 kN/m3
2)
Determine
the
elevation
difference, ∆h, between the water
levels in the two open tanks shown
in the figure. γw=9.80 kN/m3
3) An air-filled, hemispherical shell
is attached to the ocean floor at a
depth of 10 m as shown in the
figure. A mercury barometer located
inside the shell reads 765 mm Hg,
and a mercury U-tube manometer
designed to give the outside water
pressure indicates a differential
reading of 735 mm Hg as illustrated.
Based on these data what is the
atmospheric pressure at the ocean
surface. γmercury=133 kN/m3,
γsea water=10.1 kN/m3
4) Calculate the difference in
pressure between centers of tank A
and tank B. If the entire system is
rotated 180° about the axis MM,
what changes in pressure between
the tanks would be necessary to
maintain the position of the fluids
intact.
γw=9.80 kN/m3
5) A partitioned tank as shown
contains water and mercury. What is
the gage pressure in the air trapped
in the left chamber? What pressure
would the air on the left need to be
pumped to in order to bring water
and mercury free surfaces level?
γw=9.80 kN/m3, S.Gmercury =13.55
6) Consider a tank containing
mercury, water, benzene, and air as
shown. Find the air pressure(gage),
If an opening is made in the top of
the tank, find the equilibrium level
of the mercury in the manometer.
S.Gmercury =13.55
S.Gbenzene =0.879
γw=9.80 kN/m3
7) An inverted open tank is held in
place by a force R as shown in
figure. If the specific gravity of the
manometer fluid is 2.5, determine
the value of h and R. Neglect the
weight of the tank.
1 cm diameter
tube
R
2 m diameter
tank
h
Air
3m
2m
Water
1m
Water
ANSWERS
1) 77.217 kPa
2) 0.040 m
3) 94.9 kPa
4) 2519 Pa ; -2519 Pa
5) p = 3.48 kPa (gage) ; p= 123 kPa
6) p = 24.7 kPa (gage) ; h=0.116 m
7) h= 2.20m; R=61.6 kN